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Finding the Fourth Proportional to 5,517, 8,275.50 and 1,413

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Solution

The fourth proportional to 5,517, 8,275.50 and 1,413 is: 2,119.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,517 : 8,275.50 = 1,413 : x
  2. Step 2: Convert to fraction form
    5,517/8,275.50 = 1,413/x
  3. Step 3: Cross multiply
    5,517x = 8,275.50 × 1,413
  4. Step 4: Simplify right side
    5,517x = 11,693,281.50
  5. Step 5: Solve for x
    x = 11,693,281.50/5,517
  6. Step 6: Final answer
    x = 2,119.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.